Use a calculator to approximate the logarithm to four decimal places.ln 283

A. 5.6454
B. 0.1766
C. 104.4280
D. 2.4518


Answer: A

Mathematics

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Solve the problem.In order to pass a resolution on the village board, at least  of the members must approve. If there are 11 members on the board, how many members must vote in favor of the resolution?

A. 9 members B. 7 members C. 10 members D. 8 members

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y - 2)2 - 16(x + 1)2 = 16

A. center: (1, -2)
transverse axis: x = 1
vertices: (1, -6) and (1, 2)
foci: (1, -2 - ) and (1, -2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
B. center: (-1, 2)
transverse axis: x = -1
vertices: (0, -1) and (0, 7)
foci: (0, 3 - ) and (0, 3 + )
asymptotes: y - 2 = - (x + 1) and y - 2 = (x + 1)
C. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -2) and (-1, 6)
foci: (-1, 2 - ) and (-1, 2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (1, -4) and (-1, 4)
foci: (-1, - ) and (-1, )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)

Mathematics

Determine the vertex and the x-intercepts. Then sketch the graph.y = x2 + 2x - 8

A.

Vertex: (1, 9);
x-intercepts: (-2, 0) and (4, 0)
B.

Vertex: (- 1, - 9);
x-intercepts: (-4, 0) and (2, 0)
C.

Vertex: (1, - 9);
x-intercepts: (-2, 0) and (4, 0)
D.

Vertex: (- 1, - 9);
x-intercepts: (4, 0) and (2, 0)

Mathematics

Identify the quadrant for the angle ? satisfying the following conditions.sec ? < 0 and tan ? < 0

A. Quadrant I B. Quadrant II C. Quadrant IV D. Quadrant III

Mathematics